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Finding the Fourth Proportional to 897.17, 1,238.58 and 603.99

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Solution

The fourth proportional to 897.17, 1,238.58 and 603.99 is: 833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.17 : 1,238.58 = 603.99 : x
  2. Step 2: Convert to fraction form
    897.17/1,238.58 = 603.99/x
  3. Step 3: Cross multiply
    897.17x = 1,238.58 × 603.99
  4. Step 4: Simplify right side
    897.17x = 748,089.93
  5. Step 5: Solve for x
    x = 748,089.93/897.17
  6. Step 6: Final answer
    x = 833.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.